Answer
$(7a+1)(5a-1)$
Work Step by Step
For the polynomial
$$
35a^2 -2a -1
$$
we check the factors of $ac=35(-1)=-35$. The only factors that can give the right middle term are $-7$ and $5$, as follows
$$
35a^2 -2a -1=(7a+1)(5a-1)
.$$
Elementary Technical Mathematics
by Nelson, Robert; Eren, Dale;
Published by
Brooks Cole
ISBN 10:
1285199197
ISBN 13:
978-1-28519-919-1
Chapter 10 - Section 10.6 - Factoring General Trinomials - Exercise - Page 356: 17
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